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Forced Oscillations of a Damped Oscillator

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This Demonstration shows the behavior of a damped oscillator subject to external forced oscillations, with . The result is a function of the ratio , where is the frequency of the excitation and is the natural frequency.

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The equation of motion of the oscillator:

or

,

where

is the displacement of the oscillator,

is the mass of the oscillator,

is the damping coefficient,

is the stiffness coefficient,

is the length of the undeformed spring,

is the amplitude of the excitation,

is the frequency of the excitation,

is the dimensionless damping coefficient,

is the natural frequency.

Solution of the equation of motion:

or

.

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Contributed by: Miodrag Zuković (December 2020)
(Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia)
Open content licensed under CC BY-NC-SA

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